{
  "id": "math/0703486",
  "version": "v1",
  "published": "2007-03-16T13:11:32.000Z",
  "updated": "2007-03-16T13:11:32.000Z",
  "title": "Kähler-Ricci flow on a toric manifold with positive first Chern class",
  "authors": [
    "Xiaohua Zhu"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this note, we prove that on an $n$-dimensional compact toric manifold with positive first Chern class, the K\\\"ahler-Ricci flow with any initial $(S^1)^n$-invariant K\\\"ahler metric converges to a K\\\"ahler-Ricci soliton. In particular, we give another proof for the existence of K\\\"ahler-Ricci solitons on a compact toric manifold with positive first Chern class by using the K\\\"ahler-Ricci flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-16T13:11:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive first chern class",
      "kähler-ricci flow",
      "dimensional compact toric manifold",
      "metric converges"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3486Z"
    }
  }
}